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April 24, 2026, 10:08:36 am
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Sigma

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Maths Question
« on: September 09, 2017, 10:23:29 am »
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Find the general solution of 2cos(2x+π/4)=√2 and hence find all the solutions for x in the interval (−2π,2π).
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Willba99

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Re: Maths Question
« Reply #1 on: September 09, 2017, 11:09:42 am »
+1
which part are you having trouble with?
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Willba99

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Re: Maths Question
« Reply #2 on: September 09, 2017, 11:28:56 am »
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Quote from: Sigma on September 09, 2017, 11:10:15 am
The dilation.

I'm afraid I'm still a bit confused. Are you struggling forming the general solution, or using it to find the answers in the specified domain?
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Bri MT

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Re: Maths Question
« Reply #3 on: September 09, 2017, 12:58:23 pm »
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Which method of solving do you usually use?
Were you able to find the reference angle?
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Sigma

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Re: Maths Question
« Reply #4 on: September 09, 2017, 04:44:54 pm »
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Ok.

So, from Cambridge: Mathematical Methods Units 1&2 AC/VCE. Chapter 14: Circular functions
14N General solution of trigonometric equations.

Question 3 ask us to:  the general solution of 2cos(2x+π/4)=√2, and hence find all the solutions for xx in the interval (−2π,2π).

I am stuck on this point

cos(2x+π/4 = (4n+1)π/4, n element z.

I know that I have to get cos x on it on by dividing everything by 2 and taking π/4 to the right hand side.

I would appriciate it a lot if someone could explain how to do this.

Thanks. Sigma.
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Opengangs

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Re: Maths Question
« Reply #5 on: September 09, 2017, 05:32:22 pm »
+5



If there are any steps you're unsure, feel free to ask ^^
It should be pretty easy to find the solutions within the intervals.
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Sigma

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Re: Maths Question
« Reply #6 on: September 09, 2017, 06:00:12 pm »
+1
Ahhh, thank you so much.
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